Greatest Common Factor of 13337 and 13338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 13337, 13338 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13337 and 13338 is 1.

GCF(13337,13338) = 1

GCF of 13337 and 13338

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 13337 and 13338

GCF of 13337 and 13338 is 1

Prime Factorization of 13337


13337 13337
1

Prime factors of 13337 are 13337. Prime factorization of 13337 in exponential form is:

13337 = 133371

Prime Factorization of 13338


2 13338
3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 13338 are 2.Prime factorization of 13338 in exponential form is:

13338 = 21×33×131×191

∴ So by taking common prime factors GCF of 13337 and 13338 is 1

Greatest Common Factor of 13337 and 13338 by matching factors method

Factors of 13337

List of positive integer factors of 13337 that divides 13337 without a remainder.

1,13337

Factors of 13338

List of positive integer factors of 13338 that divides 13338 without a remainder.

1,2,3,6,9,13,18,19,26,27,38,39,54,57,78,114,117,171,234,247,342,351,494,513,702,741,1026,1482,2223,4446,6669,13338

Greatest Common Factor

We found the factors and prime factorization of 13337 and 13338. The biggest common factor number is the GCF number.
So the greatest common factor 13337 and 13338 is 1.

Also check out the Least Common Multiple of 13337 and 13338

Properties of GCF 13337 and 13338

(i) The GCF of 13337 and 13338 is associative

GCF of 13337 and 13338 = GCF of 13338 and 13337

Frequently Asked Questions on GCF of 13337 and 13338

1. What is the GCF of 13337 and 13338?

Answer: GCF of 13337 and 13338 is 1.

2. What are the Factors of 13337?

Answer: Factors of 13337 are 1, 13337. There are 2 integers that are factors of 13337. The greatest factor of 13337 is 13337.

3. What are the Factors of 13338?

Answer: Factors of 13338 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 114, 117, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1482, 2223, 4446, 6669, 13338. There are 32 integers that are factors of 13338. The greatest factor of 13338 is 13338.

4. How to Find the GCF of 13337 and 13338?

Answer:

Greatest Common Factor of 13337 and 13338 = 1

Step 1: Find the prime factorization of 13337

13337 = 13337

Step 2: Find the prime factorization of 13338

13338 = 2 x 3 x 3 x 3 x 13 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 13337 and 13338 is 1